The resale value R​ (in dollars) of a company car after t years is estimated to be given by R(t)=22,500(0.84)t. What is the rate of depreciation​ (in dollars per​ year) after 4 ​years?

Q: Consider the following image. 10 -10 -5 10

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Q: sec? x 4 dx- Evaluate 1-tan x O 2 O -2 O -1 O 1

A: The given integral,        ∫0π4sec2x1-tan xdx

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: Evaluate the following improper integral. Give an exact answer. (Remember, the natural exponential f...

A: Topic:- definite integration  

Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

Q: The area of a circular sunspot is growing at a rate of 700 km2/sec. (a) How fast is the radius growi...

A: Question:The area of a circular sunspot is giving at a rate of 700 sq.km/sec  a) how fast is the rad...

Q: dw In each of the following, find dr and ds using the Chain Rule. 1. w = xy + yz+2z; x =r+s+t; y =rs...

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Q: 1 dx Evaluate -1 x2 O 2 O -2 O O

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Q: sec? x dx- 4 Evaluate /1-tan x O-1 O -2 1 O 2

A: We have to find the integral

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: v) Given that the expression for the composite function, i[h(x)], can be written in the rm: V(ax + b...

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Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: 7. Using integration by parts evaluate the integral /(z- 2x)e-3 dz

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Q: f (1,0) Based on the figure above, (f-1)'(0)

A: The figure given is   

Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: Question 3. Let P be the collection of all polynomials of finite degree. Let I : P → P be the integr...

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Q: Find the length of the curve y=z from z 0 to z=4.

A: The length of the curve is given by:  

Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: The function f is defined as f(x) = (x – 3)(x + 6)². Answer the following questions without using a ...

A: The given function,      fx=x-3x+62

Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: NOTE: Refresh your page if you can't see any equations. . the base charge is $6.5 and for the first ...

Q: Evaluate the following. Use the graph of f(x) to evaluate the following expressions. (4, 5) (1,5), (...

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Q: Given: 5e-x-6e-3x Find: u 5e-x - 6e-3x O 5e2x – 6 5e¬x-6e-3x O 5- 6e-2x

A: topic - indefinite integral

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: Find the total differential dw. 1 5. w = x tan¬' y – 2ªyz -

A: Solved below

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

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Q: (1) If you have been hired at an annual salary of $23,000 and expect to receive annual increases of ...

A: According to Bartleby's guidelines, We are allowed to solve only 1 question at a time. So, here's th...

Q: What is the reversed order of integration of dydx ?

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Q: The cost function for a certain commodity is C(q) = 87 + 0.14q − 0.007q2 + 0.0002q3.   (A)  Find  C ...

A: The cost function for a certain commodity is C(q) = 87 + 0.14q − 0.007q2 + 0.0002q3

Q: The population of a certain state (in thousands) from 1991 (t= 0) to 2001 (t= 10) is modeled by the ...

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Q: V sec3(In x) + sec2(In x) tan(In x) dx Given: 2x Find: du O tan(in x) dx X O tan(In x) dx 2x sec (In...

A: Given:     To determine: expression for du

Q: Use l'Hospital's rule to find the limit. HINT [See Example 4.] x + 3 lim ex

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Q: The weak Axiom of Revealed Preference is satisfied by the choices of demand bundles xD(p) at any com...

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Q: The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6...

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Q: -1 [cos'x{ v(1-x*)}]" dx log.{1+( 1+( sin (2xv(1-x²)) TT

A: Given: - The indefinite integral is, ∫cos-1x1-x2-1loge1+sin2x1-x2πdx  To find: - The solution of the...

Q: A woman attached to a bungee cord jumps from a bridge that is 38 m above a river. Her height in mete...

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Q: 2 2x 6. lim X-3-x-3 x2-9

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Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: Use appropriate Lagrange interpolating polynomia for the following table and approximate f(1.5) Xi 0...

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Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

A: We have to first find improper Integral then we have to evaluate it.

Q: ADVANCED ENGINEERING MATHEMATICS: Determine if the function satisfy the Cauchy-Riemann equations. Sh...

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Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x 1

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Q: tan(e-x) dx Given: ex Find: du e-Xdx - e*dx O -e-×dx xp, O exdx

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Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: Question 2. Let V = R³, U = {(s + 2t, s, s + t) : s, t E R} and W = {(x, y, x) : x, y E R}. Is V = U...

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Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 — 2х | b) f(г...

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Q: Determine the end behavior of the following polynomial functions. (That is, does f(x) increase or de...

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Q: Evaluate the integral tan 4x S- Vtan? 4x – 24 In/tan 4x + /tan² 4x – 24| +C O 1 sec 4x +C Arcsec 5 O...

A:     14lntan4x+tan24x-24+C' =14lntan4x+tan24x-24' +C' =sec24xtan24x-24+0=sec24xtan24x-24 So, the firs...